Abstract
One studies crack kinking from an interface crack when this crack is closed prior to kinking but open after it. This problem was considered very recently by the authors with the considerably simplifying, but rather unrealistic hypothesis of absence of friction between the crack lips. Their work is extended here to account for possible friction obeying Coulomb’s law. One establishes the relation between the stress intensity factors just before and just after the kink. From there, using Goldstein and Salganik’s famous principle of local symmetry, one derives a theoretical value for the kink angle. This value depends upon both the mismatch of elastic properties between the materials and the friction coefficient. However, its range of variation is found to be quite narrow.
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References
Amestoy, M. and Leblond, J.-B. (1992) Crack paths in plane situations–II: Detailed form of the expansion of the stress intensity factors, Int. J. Solids Structures 29, 465–501.
Broberg, K.B. (1987) On crack paths, Engng. Fract. Mech. 28, 663–679.
Comninou, M. (1977) The interface crack, ASME J. Appl. Mech. 44, 631–636.
Deng, X. (1994) An asymptotic analysis of stationary and moving cracks with frictional contact along bimaterial interfaces and in homogeneous solids, Int. J. Solids Structures 31, 2407–2429.
Destuynder, Ph., Jaoua, M. and Lescure, S. (1983) Quelques remarques sur la mécanique de la rupture élastique, J. Méc. Th. Appl. 2, 113–135.
Dundurs, J. (1967) Effect of elastic constants on stress in a composite under plane deformation, J. Composite Materials 1, 310–322.
Dundurs, J. (1969) Discussion, ASME J. Appl. Mech. 36, 650–652.
Gautesen, A.K. and Dundurs, J. (1987) The interface crack in a tension field, ASME J. Appl. Mech. 54, 93–98.
Gautesen, A.K. and Dundurs, J. (1988) The interface crack under combined loading, ASME J. Appl. Mech. 55, 580–586.
Goldstein, R.V. and Salganik, R.L. (1974) Brittle fracture of solids with arbitrary cracks, Int. J. Fract. 10, 507–523.
Leblond, J.-B. (1989) Crack paths in plane situations–I: General form of the expansion of the stress intensity factors, Int. J. Solids Structures 25, 1311–1325.
Leblond, J.-B. and Frelat, J. (2000) Crack kinking from an initially closed crack, Int. J. Solids Structures 37, 1595–1614.
Leblond, J.-B. and Frelat, J. (2001) Crack kinking from an interface crack with initial contact between the crack lips, submitted to Eur. J. Mech. A/Solids.
Leguillon, D. (1999) Interface crack tip singularity with contact and friction, Comptes Rendus Acad. Sci. Paris Series IIb 327, 437–442.
Nemat-Nasser, S. and Horii, H. (1982) Compression-induced nonplanar crack extension with application to splitting, exfoliation and rockburst, J. Geophys. Res. 87, 6805–6821.
Pinna, Ch. (1997) Etude de la propagation des fissures de fatigue sous chargement de cisaillement plan. Application au cas de l’acier maraging M250, Thèse de Doctorat, Ecole Polytechnique, Palaiseau, France.
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Frelat, J., Leblond, JB. (2002). Crack Kinking from an Initially Closed Interface Crack in the Presence of Friction. In: Karihaloo, B.L. (eds) IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials. Solid Mechanics and Its Applications, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0081-8_25
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DOI: https://doi.org/10.1007/978-94-017-0081-8_25
Publisher Name: Springer, Dordrecht
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